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Finding the Fourth Proportional to 470,770.05, 649,504.55 and 266,804.96

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Solution

The fourth proportional to 470,770.05, 649,504.55 and 266,804.96 is: 368,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,770.05 : 649,504.55 = 266,804.96 : x
  2. Step 2: Convert to fraction form
    470,770.05/649,504.55 = 266,804.96/x
  3. Step 3: Cross multiply
    470,770.05x = 649,504.55 × 266,804.96
  4. Step 4: Simplify right side
    470,770.05x = 173,291,035,482.57
  5. Step 5: Solve for x
    x = 173,291,035,482.57/470,770.05
  6. Step 6: Final answer
    x = 368,101.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.